Singular Perturbation Theory
Seiten
2011
|
2011 ed.
Springer-Verlag New York Inc.
978-1-4419-9957-3 (ISBN)
Springer-Verlag New York Inc.
978-1-4419-9957-3 (ISBN)
This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems. Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems.
This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems. A knowledge of conventional asymptotic analysis is assumed. The first chapter introduces the theory and is followed by four chapters of applications to ordinary differential equation problems of increasing complexity. Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems.
This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems. A knowledge of conventional asymptotic analysis is assumed. The first chapter introduces the theory and is followed by four chapters of applications to ordinary differential equation problems of increasing complexity. Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems.
Uniform Expansion.- First Order Differential Equations.- Second Order Differential Equations.- Logarithm Problems.- Oscillation Problems.- References.
Zusatzinfo | X, 85 p. |
---|---|
Verlagsort | New York, NY |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 454 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
ISBN-10 | 1-4419-9957-4 / 1441999574 |
ISBN-13 | 978-1-4419-9957-3 / 9781441999573 |
Zustand | Neuware |
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Buch | Hardcover (2022)
Hanser, Carl (Verlag)
29,99 €